Least Common Multiple of 7787/387, 6409/5494

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7787/387, 6409/5494 quickly i.e. 3838991 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7787/387, 6409/5494 is 3838991.

LCM(7787/387, 6409/5494) = 3838991

LCM of 7787/387, 6409/5494

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 7787/387,6409/5494

Given numbers are 7787/387,6409/5494

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 7787,6409

Least Common Multiple of Numerators i.e. LCM of 7787,6409 is 3838991.

GCF of Denominators means GCF of 387,5494 as per the given fractions.

GCF of 387,5494 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7787,6409

LCM of Fractions 7787/387,6409/5494 is 3838991

13 7787, 6409
599, 493

∴ So the LCM of the given numbers is 13 x 599 x 493 = 3838991

Least Common Multiple of 7787,6409 with GCF Formula

Least Common Multiple of 7787,6409 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 7787,6409 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7787,6409) = 13

common factors(in case of two or more numbers have common factors) = 1

GCF(7787,6409) x common factors =13 x 1 = 13

LCM(7787,6409) = ( 7787 × 6409 ) / 13

LCM(7787,6409) = 49906883 / 13

LCM(7787,6409) = 3838991


Lets's calculate GCF of 387,5494

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3838991/1

Therefore the LCM of Fractions 7787/387,6409/5494 is 3838991

Greatest Common Factor of 387,5494 By Matching Biggest Common Factor Method

Greatest Common Factor of 387,5494 By Matching Biggest Common Factor Method

Factors of 387

List of positive integer factors of 387 that divides 387 without a remainder.

1,3,9,43,129,387

Factors of 5494

List of positive integer factors of 5494 that divides 5494 without a remainder.

1,2,41,67,82,134,2747,5494

Greatest Common Factor

We found the factors 387,5494 . The biggest common factor number is the GCF number.
So the greatest common factor 387,5494 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 7787/387, 6409/5494

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 7787/387, 6409/5494?

Answer: LCM of Numerators as per given numbers 7787/387, 6409/5494 is

LCM of Numerators i.e. for 7787,6409 is 3838991

GCF of denominators i.e. for 387,5494 is 1.

Thus, LCM of Fractions is 3838991.Finally, LCM of Fractions for 7787/387, 6409/5494 is 3838991.